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109034624 = 271495717
BaseRepresentation
bin1100111111110…
…11110010000000
321121011112101102
412133323302000
5210403101444
614452553532
72462531126
oct637736200
9247145342
10109034624
1156602366
12306228a8
1319787b3a
14106a3916
15988b84e
hex67fbc80

109034624 has 32 divisors (see below), whose sum is σ = 218713500. Its totient is φ = 54141952.

The previous prime is 109034591. The next prime is 109034641. The reversal of 109034624 is 426430901.

It can be written as a sum of positive squares in 2 ways, for example, as 105678400 + 3356224 = 10280^2 + 1832^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16214 + ... + 21930.

Almost surely, 2109034624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109356750).

109034624 is an abundant number, since it is smaller than the sum of its proper divisors (109678876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109034624 is an equidigital number, since it uses as much as digits as its factorization.

109034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 109034624 is about 10441.9645661149. The cubic root of 109034624 is about 477.7361919136.

The spelling of 109034624 in words is "one hundred nine million, thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 2384 4768 5717 9536 11434 19072 22868 45736 91472 182944 365888 731776 851833 1703666 3407332 6814664 13629328 27258656 54517312 109034624